Atkin-Lehner |
2- 3+ 5+ 11- |
Signs for the Atkin-Lehner involutions |
Class |
72600cp |
Isogeny class |
Conductor |
72600 |
Conductor |
∏ cp |
32 |
Product of Tamagawa factors cp |
deg |
1105920 |
Modular degree for the optimal curve |
Δ |
-6165862699218750000 = -1 · 24 · 34 · 512 · 117 |
Discriminant |
Eigenvalues |
2- 3+ 5+ 2 11- 0 4 4 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-1123283,473920812] |
[a1,a2,a3,a4,a6] |
Generators |
[-139:25047:1] |
Generators of the group modulo torsion |
j |
-353912203264/13921875 |
j-invariant |
L |
6.0485578733382 |
L(r)(E,1)/r! |
Ω |
0.23686404600577 |
Real period |
R |
3.1919987308552 |
Regulator |
r |
1 |
Rank of the group of rational points |
S |
0.99999999990954 |
(Analytic) order of Ш |
t |
2 |
Number of elements in the torsion subgroup |
Twists |
14520r1 6600f1 |
Quadratic twists by: 5 -11 |